Given that a random student plays music, what is the probability that the student does not play sports?

Q: Hospital records show that of patients suffering from a certain disease, 35% die of it. What is the…

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Q: According to a recent study, 14% of U.S. drivers are uninsured. A random sample of seven drivers was…

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Q: If the probability of having a female tortoise is 0.35, what is the probability of having four…

A: Given that,  The probability of having a female tortoise is, p = 0.35 The no.of eggs in a nest is, n…

Q: If a student is selected at random from Ms. Avery's homeroom, what is the probability that the…

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Q: In a mall there is a clothing seller who does a discount. If there are 10 out of 45 people who visit…

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Q: It has been estimated that 21% of Americans are smokers. If five American adults are chosen at…

A: From the provided information, It has been estimated that 21% of Americans are smokers that is p =…

Q: Suppose that the probability that a child living in an urban area in the United States is obese is…

A: From the given information p = 0.20 and n = 15.

Q: You are modeling the number of goals scored in a soccer game by a particular team. On average, the…

A: Let X = goals scored in a game. The distribution is Poisson. P[X=5] = ? average is given as 2.045…

Q: The probability that it will rain on a given day is 0.23. What is the probability that it will not…

A: The probability that it will rain on a given day is 0.23 P(Rain) = 0.23 We know that , complement of…

Q: If the probability that an event does no occur is 0.3 determine the probability that the event…

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Q: Suppose that 84% of students in a college have a smart phone. If you select three students at…

A: sample size(n)=3 p=0.84 Let "x" be no.of students have a smart phone x~Binomial(n=3,p=0.84)…

Q: A survey on campus revealed that 77% of the students felt that a new attendance policy was unfair.…

A: Given that the probability that the students felt that a new attendance policy was unfair is = 77%…

Q: In a large town, previous records indicate that 40% of all high school graduates go to college. 30…

A: From the given information, n=30 and p=0.40.

Q: Suppose that 56% of students in a college have a smart phone. If you select three students at…

A: Solution: It is given that 56% of students in a college have a smart phone.  Thus, probability that…

Q: According to a study, 20% of corporate officers are women. Suppose that you select a random sample…

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Q: In a survey of 500 individuals, it was found that 60% of them prefer tea over coffee. Of those who…

A: Answer: To find the probability, we need to calculate the proportion of individuals who prefer tea…

Q: Suppose that about 58% of the people who are murdered actually knew the person who committed the…

A: Given, Suppose that about 58% of the people who are murdered actually knew the person who committed…

Q: University has found out that the graduation rate is 92% (92% of students admitted graduate from the…

A: p = 0.92 n = 300

Q: A rare disease affects 1 out of 10,000 people. There is a new medical test for the disease. If…

A: Given Data:   Disease No disease Total Test Positive 0.9999 0.9999 1.9998 Test Negative…

Q: In the United States, 75 percent of adults wear glasses or contact lenses. A random sample of 10…

A: A random variable X, is said to follow binomial distribution if the probability mass function of X…

Q: A survey revealed that 31% of people are entertained by reading books, 39% are entertained by…

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Q: If the probability of being hit by lightning is 1 in 1,000,000, what is the probability of not…

A: Given that , P (being hit by lightning) = 1/1000000 =0.000001

Q: Suppose that historically, 66% residents in an apartment building own at least one pet. If there are…

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Q: In a recent​ survey, it was found that the median income of families in country A was ​$58,000. What…

A: In a recent​ survey, it was found that the median income of families in country A was ​$58,000.

Q: Police records show that for a certain area in Arendale, when the driver of a car double parks, 60%…

A: Let X be the number of not allowed towed away  Let p be the probability of towed away=0.6  q be the…

Q: In a recent survey, it was found that the median income of families in country A was $57,700. What…

A: Median: Median is the middle value of the observations in the distribution when the data values are…

Q: on has blood type A is 0.3.Two persons are selected at random. What is the probability that neither…

A: Consider: E: The event that selected person has Blood type A. We have P(E)=0.3 The probability of…

Q: In a certain community, 36 percent of families own a dog, and 30 percent of families own a cat. What…

A: A = families own a dog B= families own a cat  P(A)=36%=0.36 P(B)=30%=0.30

Q: A box contains either a coin or a dollar (50/50). Another coin is added to the box; then, a coin is…

A: Box contains either ( coin or dollar ) Chances are 50/50 Another coin added in box , Now, one coin…

Q: A meteorologist found from the past year’s records that it rained 17% of the days. Based on this…

A: Let X= number of days rained  Number of observation= 15  probability of X= p = 0.17  So, X follows a…

Q: In average the number of people entering the intensive care unit at the particular hospital on any…

A: Step 1: Identify the formula to be usedWe will use Poisson distribution in this case since there is…

Q: A flu test shows that about 31% of all patients visited the hospital. Suppose that 90 patients…

A:

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.